228 (number)
228 (two hundred [and] twenty-eight) is the natural number following 227 and preceding 229.
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| Cardinal | two hundred twenty-eight | |||
| Ordinal | 228th (two hundred twenty-eighth) | |||
| Factorization | 22 × 3 × 19 | |||
| Prime | no | |||
| Greek numeral | ΣΚΗ´ | |||
| Roman numeral | CCXXVIII | |||
| Binary | 111001002 | |||
| Ternary | 221103 | |||
| Octal | 3448 | |||
| Duodecimal | 17012 | |||
| Hexadecimal | E416 | |||
228 is a refactorable number,[1] and a practical number.[2] There are 228 matchings in a ladder graph with five rungs.[3] 228 is the smallest even number n such that the numerator of the nth Bernoulli number is divisible by a nontrivial square number that is relatively prime to n.[4]
The binary form of 228 contains all the two digit binary numbers in sequence from highest to lowest (11 10 01 00).
References
- Sloane, N. J. A. (ed.). "Sequence A033950 (Refactorable numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- Sloane, N. J. A. (ed.). "Sequence A005153 (Practical numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- Sloane, N. J. A. (ed.). "Sequence A030186 (a(n) = 3a(n-1) + a(n-2) - a(n-3))". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- Sloane, N. J. A. (ed.). "Sequence A090943 (Even numbers n such that N(n) is divisible by a nontrivial square, m^2, say and GCD(n,m)=1, where N(n) is the numerator of the Bernoulli number B(n))". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
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